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Finding the Third Proportional to 1,140.33 and 1,630.76

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Solution

The third proportional to 1,140.33 and 1,630.76 is: 2,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.33 : 1,630.76 = 1,630.76 : x
  2. Step 2: Convert to fraction form
    1,140.33/1,630.76 = 1,630.76/x
  3. Step 3: Cross multiply
    1,140.33x = 1,630.76 × 1,630.76
  4. Step 4: Simplify right side
    1,140.33x = 2,659,371.04
  5. Step 5: Solve for x
    x = 2,659,371.04/1,140.33
  6. Step 6: Final answer
    x = 2,332.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.